7566 has 16 divisors (see below), whose sum is σ = 16464. Its totient is φ = 2304.

The previous prime is 7561. The next prime is 7573. The reversal of 7566 is 6657.

It is a plaindrome in base 9 and base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 7566.

It is not an unprimeable number, because it can be changed into a prime (7561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30 + ... + 126.

It is an arithmetic number, because the mean of its divisors is an integer number (1029).

2⁷⁵⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8232).

7566 is an abundant number, since it is smaller than the sum of its proper divisors (8898).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7566 is a wasteful number, since it uses less digits than its factorization.

7566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115.

The product of its digits is 1260, while the sum is 24.

The square root of 7566 is about 86.9827569119. The cubic root of 7566 is about 19.6315886569.

Subtracting from 7566 its reverse (6657), we obtain a palindrome (909).

It can be divided in two parts, 75 and 66, that multiplied together give a triangular number (4950 = T₉₉).

The spelling of 7566 in words is "seven thousand, five hundred sixty-six".